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What is the Least Common Multiple of 4859 and 4874?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4859 and 4874 is 23682766.

LCM(4859,4874) = 23682766

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Least Common Multiple of 4859 and 4874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4859 and 4874, than apply into the LCM equation.

GCF(4859,4874) = 1
LCM(4859,4874) = ( 4859 × 4874) / 1
LCM(4859,4874) = 23682766 / 1
LCM(4859,4874) = 23682766

Least Common Multiple (LCM) of 4859 and 4874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4859 and 4874. First we will calculate the prime factors of 4859 and 4874.

Prime Factorization of 4859

Prime factors of 4859 are 43, 113. Prime factorization of 4859 in exponential form is:

4859 = 431 × 1131

Prime Factorization of 4874

Prime factors of 4874 are 2, 2437. Prime factorization of 4874 in exponential form is:

4874 = 21 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 4859 and 4874.

LCM(4859,4874) = 431 × 1131 × 21 × 24371
LCM(4859,4874) = 23682766